Constraint A: $-2 X_{1}+2 X_{2} \leq 14$ Constraint B: $4 X_{1}-10 X_{2} \leq 40$
All variables are required to be non-negative. Let the objective function be Max: $2 X_{1}+3 X_{2}$. The optimal solution and the corresponding objective function value to this problem (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) will be
A) $(0,0)$ and 0
B) the problem is unbounded
C) $(5,2)$ and 16
D) $(0,7)$ and 21
E) $(10,0)$ and 20

Question

Quizplus · Accepted Answer

The Answer of Constraint A: $-2 X_{1}+2 X_{2} \leq 14$ Constraint B: $4 X_{1}-10 X_{2} \leq 40$
All variables are required to be non-negative. Let the objective function be Max: $2 X_{1}+3 X_{2}$. The optimal solution and the corresponding objective function value to this problem (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) will be
A) $(0,0)$ and 0
B) the problem is unbounded
C) $(5,2)$ and 16
D) $(0,7)$ and 21
E) $(10,0)$ and 20

Constraint A −2X1+2X2≤14-2 X_{1}+2 X_{2} \leq 14−2X1​+2X2​≤14 Constraint B 4X1−10X2≤404 X_{1}-10 X_{2} \leq 404X1​−10X2​≤40

Constraint A $-2 X_{1}+2 X_{2} \leq 14$ Constraint B $4 X_{1}-10 X_{2} \leq 40$